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Finding the Fourth Proportional to 15,682.25, 23,529.52 and 6,911.01

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Solution

The fourth proportional to 15,682.25, 23,529.52 and 6,911.01 is: 10,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.25 : 23,529.52 = 6,911.01 : x
  2. Step 2: Convert to fraction form
    15,682.25/23,529.52 = 6,911.01/x
  3. Step 3: Cross multiply
    15,682.25x = 23,529.52 × 6,911.01
  4. Step 4: Simplify right side
    15,682.25x = 162,612,748.02
  5. Step 5: Solve for x
    x = 162,612,748.02/15,682.25
  6. Step 6: Final answer
    x = 10,369.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.